Generalization of the Scott identity on permanents

Authors
Han, GN
Citation
Gn. Han, Generalization of the Scott identity on permanents, LIN ALG APP, 311(1-3), 2000, pp. 25-34
Citations number
13
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
311
Issue
1-3
Year of publication
2000
Pages
25 - 34
Database
ISI
SICI code
0024-3795(20000515)311:1-3<25:GOTSIO>2.0.ZU;2-A
Abstract
The Scott identity on permanents is reproved and generalized by means of a recent theorem due to Lascoux. For example, the following result is derived : let x(1),..., x(n) and y(1),..., y(n) be the roots of the polynomials x(n ) - 1 and y(n) + y - 1, respectively. Then the permanent of the matrix (1/( x(i) - y(j))) is equal to n(n).